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Finding the Fourth Proportional to 81,869.66, 122,797.46 and 49,840.42

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Solution

The fourth proportional to 81,869.66, 122,797.46 and 49,840.42 is: 74,756.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,869.66 : 122,797.46 = 49,840.42 : x
  2. Step 2: Convert to fraction form
    81,869.66/122,797.46 = 49,840.42/x
  3. Step 3: Cross multiply
    81,869.66x = 122,797.46 × 49,840.42
  4. Step 4: Simplify right side
    81,869.66x = 6,120,276,425.14
  5. Step 5: Solve for x
    x = 6,120,276,425.14/81,869.66
  6. Step 6: Final answer
    x = 74,756.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.